pkg/obcs/orlanski_east.F

C $Header: /u/gcmpack/MITgcm/pkg/obcs/orlanski_east.F,v 1.10 2009/10/01 21:04:50 jmc Exp $
C $Name:  $
cc

#include "OBCS_OPTIONS.h"

      SUBROUTINE ORLANSKI_EAST( bi, bj, futureTime,
     I                      uVel, vVel, wVel, theta, salt,
     I                      myThid )
C     /==========================================================\
C     | SUBROUTINE ORLANSKI_EAST                                 |
C     | o Calculate future boundary data at open boundaries      |
C     |   at time = futureTime by applying Orlanski radiation    |
C     |   conditions.                                            |
C     |==========================================================|
C     |                                                          |
C     \==========================================================/
      IMPLICIT NONE

C     === Global variables ===
#include "SIZE.h"
#include "EEPARAMS.h"
#include "PARAMS.h"
#include "GRID.h"
#include "OBCS.h"
#include "ORLANSKI.h"

C SPK 6/2/00: Added radiative OBCs for salinity.
C SPK 6/6/00: Changed calculation of OB*w. When K=1, the
C             upstream value is used. For example on the eastern OB:
C                IF (K.EQ.1) THEN
C                   OBEw(J,K,bi,bj)=wVel(I_obc-1,J,K,bi,bj)
C                ENDIF
C
C SPK 7/7/00: 1) Removed OB*w fix (see above).
C             2) Added variable CMAX. Maximum diagnosed phase speed is now
C                clamped to CMAX. For stability of AB-II scheme (CFL) the
C                (non-dimensional) phase speed must be <0.5
C             3) (Sonya Legg) Changed application of uVel and vVel.
C                uVel on the western OB is actually applied at I_obc+1
C                while vVel on the southern OB is applied at J_obc+1.
C             4) (Sonya Legg) Added templates for forced OBs.
C
C SPK 7/17/00: Non-uniform resolution is now taken into account in diagnosing
C              phase speeds and time-stepping OB values. CL is still the
C              non-dimensional phase speed; CVEL is the dimensional phase
C              speed: CVEL = CL*(dx or dy)/dt, where dx and dy is the
C              appropriate grid spacings. Note that CMAX (with which CL
C              is compared) remains non-dimensional.
C
C SPK 7/18/00: Added code to allow filtering of phase speed following
C              Blumberg and Kantha. There is now a separate array
C              CVEL_**, where **=Variable(U,V,T,S,W)Boundary(E,W,N,S) for
C              the dimensional phase speed. These arrays are initialized to
C              zero in ini_obcs.F. CVEL_** is filtered according to
C              CVEL_** = fracCVEL*CVEL(new) + (1-fracCVEL)*CVEL_**(old).
C              fracCVEL=1.0 turns off filtering.
C
C SPK 7/26/00: Changed code to average phase speed. A new variable
C              'cvelTimeScale' was created. This variable must now be
C              specified. Then, fracCVEL=deltaT/cvelTimeScale.
C              Since the goal is to smooth out the 'singularities' in the
C              diagnosed phase speed, cvelTimeScale could be picked as the
C              duration of the singular period in the unfiltered case. Thus,
C              for a plane wave cvelTimeScale might be the time take for the
C              wave to travel a distance DX, where DX is the width of the region
C              near which d(phi)/dx is small.
C
C JBG 4/10/03: Fixed phase speed at western boundary (as suggested by
C              Dale Durran in his MWR paper). Fixed value (in m/s) is
C              passed in as variable CFIX in data.obcs.
C              also now allow choice of Orlanski or fixed wavespeed
C              (by means of new booleans useFixedCEast and
C              useFixedCWest) without having to recompile each time
C

C     == Routine arguments ==
      INTEGER bi, bj
      _RL futureTime
      _RL uVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
      _RL vVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
      _RL wVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
      _RL theta(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
      _RL salt (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
      INTEGER myThid

#ifdef ALLOW_ORLANSKI
#ifdef ALLOW_OBCS_EAST

C     == Local variables ==
      INTEGER J, K, I_obc
      _RL CL, ab1, ab2, fracCVEL, f1, f2

      ab1   =  1.5 _d 0 + abEps /* Adams-Bashforth coefficients */
      ab2   = -0.5 _d 0 - abEps
      /* CMAX is maximum allowable phase speed-CFL for AB-II */
      /* cvelTimeScale is averaging period for phase speed in sec. */

      fracCVEL = deltaT/cvelTimeScale /* fraction of new phase speed used*/
      f1 = fracCVEL /* dont change this. Set cvelTimeScale */
      f2 = 1.0-fracCVEL   /* dont change this. set cvelTimeScale */

C     Eastern OB (Orlanski Radiation Condition)
      DO K=1,Nr
         DO J=1-Oly,sNy+Oly
            I_obc=OB_Ie(J,bi,bj)
            IF (I_obc.ne.0) THEN
C              uVel
               IF ((UE_STORE_2(J,K,bi,bj).eq.0.).and.
     &            (UE_STORE_3(J,K,bi,bj).eq.0.)) THEN
                  CL=0.
               ELSE
                  CL=-(uVel(I_obc-1,J,K,bi,bj)-UE_STORE_1(J,K,bi,bj))/
     &          (ab1*UE_STORE_2(J,K,bi,bj) + ab2*UE_STORE_3(J,K,bi,bj))
               ENDIF
               IF (CL.lt.0.) THEN
                  CL=0.
               ELSEIF (CL.gt.CMAX) THEN
                  CL=CMAX
               ENDIF
               IF (useFixedCEast) THEN
C                Fixed phase speed (ignoring all of that painstakingly
C                saved data...)
                 CVEL_UE(J,K,bi,bj) = CFIX
               ELSE
                 CVEL_UE(J,K,bi,bj) = f1*(CL*dxF(I_obc-2,J,bi,bj)/deltaT
     &              )+f2*CVEL_UE(J,K,bi,bj)
               ENDIF
C              update OBC to next timestep
               OBEu(J,K,bi,bj)=uVel(I_obc,J,K,bi,bj)-
     &           CVEL_UE(J,K,bi,bj)*(deltaT*recip_dxF(I_obc-1,J,bi,bj))*
     &           (ab1*(uVel(I_obc,J,K,bi,bj)-uVel(I_obc-1,J,K,bi,bj)) +
     &           ab2*(UE_STORE_4(J,K,bi,bj)-UE_STORE_1(J,K,bi,bj)))
C              vVel
               IF ((VE_STORE_2(J,K,bi,bj).eq.0.).and.
     &            (VE_STORE_3(J,K,bi,bj).eq.0.)) THEN
                  CL=0.
               ELSE
                  CL=-(vVel(I_obc-1,J,K,bi,bj)-VE_STORE_1(J,K,bi,bj))/
     &          (ab1*VE_STORE_2(J,K,bi,bj) + ab2*VE_STORE_3(J,K,bi,bj))
               ENDIF
               IF (CL.lt.0.) THEN
                  CL=0.
               ELSEIF (CL.gt.CMAX) THEN
                  CL=CMAX
               ENDIF
               IF (useFixedCEast) THEN
C                Fixed phase speed (ignoring all of that painstakingly
C                saved data...)
                 CVEL_VE(J,K,bi,bj) = CFIX
               ELSE
                 CVEL_VE(J,K,bi,bj) = f1*(CL*dxV(I_obc-1,J,bi,bj)
     $                 /deltaT)+f2*CVEL_VE(J,K,bi,bj)
               ENDIF
C              update OBC to next timestep
               OBEv(J,K,bi,bj)=vVel(I_obc,J,K,bi,bj)-
     &           CVEL_VE(J,K,bi,bj)*(deltaT*recip_dxV(I_obc,J,bi,bj))*
     &           (ab1*(vVel(I_obc,J,K,bi,bj)-vVel(I_obc-1,J,K,bi,bj)) +
     &           ab2*(VE_STORE_4(J,K,bi,bj)-VE_STORE_1(J,K,bi,bj)))
C              Temperature
               IF ((TE_STORE_2(J,K,bi,bj).eq.0.).and.
     &            (TE_STORE_3(J,K,bi,bj).eq.0.)) THEN
                  CL=0.
               ELSE
                  CL=-(theta(I_obc-1,J,K,bi,bj)-TE_STORE_1(J,K,bi,bj))/
     &          (ab1*TE_STORE_2(J,K,bi,bj) + ab2*TE_STORE_3(J,K,bi,bj))
               ENDIF
               IF (CL.lt.0.) THEN
                  CL=0.
               ELSEIF (CL.gt.CMAX) THEN
                  CL=CMAX
               ENDIF
               IF (useFixedCEast) THEN
C                Fixed phase speed (ignoring all of that painstakingly
C                saved data...)
                 CVEL_TE(J,K,bi,bj) = CFIX
               ELSE
                 CVEL_TE(J,K,bi,bj) = f1*(CL*dxC(I_obc-1,J,bi,bj)
     $                 /deltaT)+f2*CVEL_TE(J,K,bi,bj)
               ENDIF
C              update OBC to next timestep
               OBEt(J,K,bi,bj)=theta(I_obc,J,K,bi,bj)-
     &           CVEL_TE(J,K,bi,bj)*(deltaT*recip_dxC(I_obc,J,bi,bj))*
     &           (ab1*(theta(I_obc,J,K,bi,bj)-theta(I_obc-1,J,K,bi,bj))+
     &           ab2*(TE_STORE_4(J,K,bi,bj)-TE_STORE_1(J,K,bi,bj)))
C              Salinity
               IF ((SE_STORE_2(J,K,bi,bj).eq.0.).and.
     &            (SE_STORE_3(J,K,bi,bj).eq.0.)) THEN
                  CL=0.
               ELSE
                  CL=-(salt(I_obc-1,J,K,bi,bj)-SE_STORE_1(J,K,bi,bj))/
     &          (ab1*SE_STORE_2(J,K,bi,bj) + ab2*SE_STORE_3(J,K,bi,bj))
               ENDIF
               IF (CL.lt.0.) THEN
                  CL=0.
               ELSEIF (CL.gt.CMAX) THEN
                  CL=CMAX
               ENDIF
               IF (useFixedCEast) THEN
C                Fixed phase speed (ignoring all of that painstakingly
C                saved data...)
                 CVEL_SE(J,K,bi,bj) = CFIX
               ELSE
                 CVEL_SE(J,K,bi,bj) = f1*(CL*dxC(I_obc-1,J,bi,bj)
     $                 /deltaT)+f2*CVEL_SE(J,K,bi,bj)
               ENDIF
C              update OBC to next timestep
               OBEs(J,K,bi,bj)=salt(I_obc,J,K,bi,bj)-
     &           CVEL_SE(J,K,bi,bj)*(deltaT*recip_dxC(I_obc,J,bi,bj))*
     &           (ab1*(salt(I_obc,J,K,bi,bj)-salt(I_obc-1,J,K,bi,bj))+
     &           ab2*(SE_STORE_4(J,K,bi,bj)-SE_STORE_1(J,K,bi,bj)))
#ifdef ALLOW_NONHYDROSTATIC
             IF ( nonHydrostatic ) THEN
C              wVel
               IF ((WE_STORE_2(J,K,bi,bj).eq.0.).and.
     &            (WE_STORE_3(J,K,bi,bj).eq.0.)) THEN
                  CL=0.
               ELSE
                  CL=-(wVel(I_obc-1,J,K,bi,bj)-WE_STORE_1(J,K,bi,bj))/
     &          (ab1*WE_STORE_2(J,K,bi,bj)+ab2*WE_STORE_3(J,K,bi,bj))
               ENDIF
               IF (CL.lt.0.) THEN
                  CL=0.
               ELSEIF (CL.gt.CMAX) THEN
                  CL=CMAX
               ENDIF
               IF (useFixedCEast) THEN
C                Fixed phase speed (ignoring all of that painstakingly
C                saved data...)
                 CVEL_WE(J,K,bi,bj) = CFIX
               ELSE
                 CVEL_WE(J,K,bi,bj)=f1*(CL*dxC(I_obc-1,J,bi,bj)/deltaT)
     &                   + f2*CVEL_WE(J,K,bi,bj)
               ENDIF
C              update OBC to next timestep
               OBEw(J,K,bi,bj)=wVel(I_obc,J,K,bi,bj)-
     &           CVEL_WE(J,K,bi,bj)*(deltaT*recip_dxC(I_obc,J,bi,bj))*
     &           (ab1*(wVel(I_obc,J,K,bi,bj)-wVel(I_obc-1,J,K,bi,bj))+
     &           ab2*(WE_STORE_4(J,K,bi,bj)-WE_STORE_1(J,K,bi,bj)))
             ENDIF
#endif /* ALLOW_NONHYDROSTATIC */
C              update/save storage arrays
C              uVel
C              copy t-1 to t-2 array
               UE_STORE_3(J,K,bi,bj)=UE_STORE_2(J,K,bi,bj)
C              copy (current time) t to t-1 arrays
               UE_STORE_2(J,K,bi,bj)=uVel(I_obc-1,J,K,bi,bj) -
     &         uVel(I_obc-2,J,K,bi,bj)
               UE_STORE_1(J,K,bi,bj)=uVel(I_obc-1,J,K,bi,bj)
               UE_STORE_4(J,K,bi,bj)=uVel(I_obc,J,K,bi,bj)
C              vVel
C              copy t-1 to t-2 array
               VE_STORE_3(J,K,bi,bj)=VE_STORE_2(J,K,bi,bj)
C              copy (current time) t to t-1 arrays
               VE_STORE_2(J,K,bi,bj)=vVel(I_obc-1,J,K,bi,bj) -
     &         vVel(I_obc-2,J,K,bi,bj)
               VE_STORE_1(J,K,bi,bj)=vVel(I_obc-1,J,K,bi,bj)
               VE_STORE_4(J,K,bi,bj)=vVel(I_obc,J,K,bi,bj)
C              Temperature
C              copy t-1 to t-2 array
               TE_STORE_3(J,K,bi,bj)=TE_STORE_2(J,K,bi,bj)
C              copy (current time) t to t-1 arrays
               TE_STORE_2(J,K,bi,bj)=theta(I_obc-1,J,K,bi,bj) -
     &         theta(I_obc-2,J,K,bi,bj)
               TE_STORE_1(J,K,bi,bj)=theta(I_obc-1,J,K,bi,bj)
               TE_STORE_4(J,K,bi,bj)=theta(I_obc,J,K,bi,bj)
C              Salinity
C              copy t-1 to t-2 array
               SE_STORE_3(J,K,bi,bj)=SE_STORE_2(J,K,bi,bj)
C              copy (current time) t to t-1 arrays
               SE_STORE_2(J,K,bi,bj)=salt(I_obc-1,J,K,bi,bj) -
     &         salt(I_obc-2,J,K,bi,bj)
               SE_STORE_1(J,K,bi,bj)=salt(I_obc-1,J,K,bi,bj)
               SE_STORE_4(J,K,bi,bj)=salt(I_obc,J,K,bi,bj)
#ifdef ALLOW_NONHYDROSTATIC
             IF ( nonHydrostatic ) THEN
C              wVel
C              copy t-1 to t-2 array
               WE_STORE_3(J,K,bi,bj)=WE_STORE_2(J,K,bi,bj)
C              copy (current time) t to t-1 arrays
               WE_STORE_2(J,K,bi,bj)=wVel(I_obc-1,J,K,bi,bj) -
     &         wVel(I_obc-2,J,K,bi,bj)
               WE_STORE_1(J,K,bi,bj)=wVel(I_obc-1,J,K,bi,bj)
               WE_STORE_4(J,K,bi,bj)=wVel(I_obc,J,K,bi,bj)
             ENDIF
#endif /* ALLOW_NONHYDROSTATIC */
            ENDIF
         ENDDO
      ENDDO

#endif
#endif /* ALLOW_ORLANSKI */
      RETURN
      END
1	jmc	1.11	C $Header: /u/gcmpack/MITgcm/pkg/obcs/orlanski_east.F,v 1.10 2009/10/01 21:04:50 jmc Exp $
2	adcroft	1.6	C $Name: $
3	adcroft	1.5	cc
4	adcroft	1.2
5			#include "OBCS_OPTIONS.h"
6
7	jmc	1.9	SUBROUTINE ORLANSKI_EAST( bi, bj, futureTime,
8			I uVel, vVel, wVel, theta, salt,
9	adcroft	1.2	I myThid )
10			C /==========================================================\
11			C \| SUBROUTINE ORLANSKI_EAST \|
12			C \| o Calculate future boundary data at open boundaries \|
13			C \| at time = futureTime by applying Orlanski radiation \|
14			C \| conditions. \|
15			C \|==========================================================\|
16			C \| \|
17			C \==========================================================/
18			IMPLICIT NONE
19
20			C === Global variables ===
21			#include "SIZE.h"
22			#include "EEPARAMS.h"
23			#include "PARAMS.h"
24			#include "GRID.h"
25			#include "OBCS.h"
26			#include "ORLANSKI.h"
27
28	jmc	1.9	C SPK 6/2/00: Added radiative OBCs for salinity.
29			C SPK 6/6/00: Changed calculation of OB*w. When K=1, the
30	adcroft	1.2	C upstream value is used. For example on the eastern OB:
31			C IF (K.EQ.1) THEN
32			C OBEw(J,K,bi,bj)=wVel(I_obc-1,J,K,bi,bj)
33			C ENDIF
34	jmc	1.9	C
35	adcroft	1.2	C SPK 7/7/00: 1) Removed OB*w fix (see above).
36			C 2) Added variable CMAX. Maximum diagnosed phase speed is now
37	jmc	1.9	C clamped to CMAX. For stability of AB-II scheme (CFL) the
38	adcroft	1.2	C (non-dimensional) phase speed must be <0.5
39			C 3) (Sonya Legg) Changed application of uVel and vVel.
40	jmc	1.9	C uVel on the western OB is actually applied at I_obc+1
41	adcroft	1.2	C while vVel on the southern OB is applied at J_obc+1.
42	adcroft	1.3	C 4) (Sonya Legg) Added templates for forced OBs.
43	adcroft	1.2	C
44			C SPK 7/17/00: Non-uniform resolution is now taken into account in diagnosing
45			C phase speeds and time-stepping OB values. CL is still the
46			C non-dimensional phase speed; CVEL is the dimensional phase
47	jmc	1.9	C speed: CVEL = CL*(dx or dy)/dt, where dx and dy is the
48			C appropriate grid spacings. Note that CMAX (with which CL
49	adcroft	1.2	C is compared) remains non-dimensional.
50	jmc	1.9	C
51			C SPK 7/18/00: Added code to allow filtering of phase speed following
52			C Blumberg and Kantha. There is now a separate array
53	adcroft	1.2	C CVEL_, where =Variable(U,V,T,S,W)Boundary(E,W,N,S) for
54	jmc	1.9	C the dimensional phase speed. These arrays are initialized to
55	adcroft	1.2	C zero in ini_obcs.F. CVEL_** is filtered according to
56			C CVEL_** = fracCVELCVEL(new) + (1-fracCVEL)CVEL_**(old).
57			C fracCVEL=1.0 turns off filtering.
58			C
59	jmc	1.9	C SPK 7/26/00: Changed code to average phase speed. A new variable
60	adcroft	1.2	C 'cvelTimeScale' was created. This variable must now be
61	jmc	1.9	C specified. Then, fracCVEL=deltaT/cvelTimeScale.
62			C Since the goal is to smooth out the 'singularities' in the
63			C diagnosed phase speed, cvelTimeScale could be picked as the
64			C duration of the singular period in the unfiltered case. Thus,
65			C for a plane wave cvelTimeScale might be the time take for the
66	adcroft	1.2	C wave to travel a distance DX, where DX is the width of the region
67			C near which d(phi)/dx is small.
68	adcroft	1.5	C
69			C JBG 4/10/03: Fixed phase speed at western boundary (as suggested by
70	jmc	1.11	C Dale Durran in his MWR paper). Fixed value (in m/s) is
71	adcroft	1.5	C passed in as variable CFIX in data.obcs.
72			C also now allow choice of Orlanski or fixed wavespeed
73			C (by means of new booleans useFixedCEast and
74			C useFixedCWest) without having to recompile each time
75			C
76	adcroft	1.2
77			C == Routine arguments ==
78			INTEGER bi, bj
79			_RL futureTime
80			_RL uVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
81			_RL vVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
82			_RL wVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
83			_RL theta(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
84			_RL salt (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
85			INTEGER myThid
86
87			#ifdef ALLOW_ORLANSKI
88	heimbach	1.8	#ifdef ALLOW_OBCS_EAST
89	adcroft	1.2
90			C == Local variables ==
91			INTEGER J, K, I_obc
92			_RL CL, ab1, ab2, fracCVEL, f1, f2
93
94			ab1 = 1.5 _d 0 + abEps /* Adams-Bashforth coefficients */
95			ab2 = -0.5 _d 0 - abEps
96			/* CMAX is maximum allowable phase speed-CFL for AB-II */
97			/* cvelTimeScale is averaging period for phase speed in sec. */
98
99			fracCVEL = deltaT/cvelTimeScale /* fraction of new phase speed used*/
100	adcroft	1.3	f1 = fracCVEL /* dont change this. Set cvelTimeScale */
101			f2 = 1.0-fracCVEL /* dont change this. set cvelTimeScale */
102	adcroft	1.2
103			C Eastern OB (Orlanski Radiation Condition)
104			DO K=1,Nr
105			DO J=1-Oly,sNy+Oly
106			I_obc=OB_Ie(J,bi,bj)
107			IF (I_obc.ne.0) THEN
108			C uVel
109			IF ((UE_STORE_2(J,K,bi,bj).eq.0.).and.
110			& (UE_STORE_3(J,K,bi,bj).eq.0.)) THEN
111			CL=0.
112			ELSE
113			CL=-(uVel(I_obc-1,J,K,bi,bj)-UE_STORE_1(J,K,bi,bj))/
114			& (ab1UE_STORE_2(J,K,bi,bj) + ab2UE_STORE_3(J,K,bi,bj))
115			ENDIF
116			IF (CL.lt.0.) THEN
117			CL=0.
118			ELSEIF (CL.gt.CMAX) THEN
119			CL=CMAX
120			ENDIF
121	adcroft	1.5	IF (useFixedCEast) THEN
122	jmc	1.10	C Fixed phase speed (ignoring all of that painstakingly
123			C saved data...)
124	adcroft	1.5	CVEL_UE(J,K,bi,bj) = CFIX
125			ELSE
126	adcroft	1.6	CVEL_UE(J,K,bi,bj) = f1(CLdxF(I_obc-2,J,bi,bj)/deltaT
127			& )+f2*CVEL_UE(J,K,bi,bj)
128	adcroft	1.5	ENDIF
129	adcroft	1.2	C update OBC to next timestep
130			OBEu(J,K,bi,bj)=uVel(I_obc,J,K,bi,bj)-
131	adcroft	1.7	& CVEL_UE(J,K,bi,bj)(deltaTrecip_dxF(I_obc-1,J,bi,bj))*
132	adcroft	1.2	& (ab1*(uVel(I_obc,J,K,bi,bj)-uVel(I_obc-1,J,K,bi,bj)) +
133			& ab2*(UE_STORE_4(J,K,bi,bj)-UE_STORE_1(J,K,bi,bj)))
134			C vVel
135			IF ((VE_STORE_2(J,K,bi,bj).eq.0.).and.
136			& (VE_STORE_3(J,K,bi,bj).eq.0.)) THEN
137			CL=0.
138			ELSE
139			CL=-(vVel(I_obc-1,J,K,bi,bj)-VE_STORE_1(J,K,bi,bj))/
140			& (ab1VE_STORE_2(J,K,bi,bj) + ab2VE_STORE_3(J,K,bi,bj))
141	jmc	1.9	ENDIF
142	adcroft	1.2	IF (CL.lt.0.) THEN
143			CL=0.
144			ELSEIF (CL.gt.CMAX) THEN
145			CL=CMAX
146			ENDIF
147	adcroft	1.5	IF (useFixedCEast) THEN
148	jmc	1.10	C Fixed phase speed (ignoring all of that painstakingly
149			C saved data...)
150	adcroft	1.5	CVEL_VE(J,K,bi,bj) = CFIX
151			ELSE
152			CVEL_VE(J,K,bi,bj) = f1(CLdxV(I_obc-1,J,bi,bj)
153			$ /deltaT)+f2*CVEL_VE(J,K,bi,bj)
154			ENDIF
155	adcroft	1.2	C update OBC to next timestep
156			OBEv(J,K,bi,bj)=vVel(I_obc,J,K,bi,bj)-
157	adcroft	1.7	& CVEL_VE(J,K,bi,bj)(deltaTrecip_dxV(I_obc,J,bi,bj))*
158	jmc	1.9	& (ab1*(vVel(I_obc,J,K,bi,bj)-vVel(I_obc-1,J,K,bi,bj)) +
159	adcroft	1.7	& ab2*(VE_STORE_4(J,K,bi,bj)-VE_STORE_1(J,K,bi,bj)))
160	adcroft	1.2	C Temperature
161			IF ((TE_STORE_2(J,K,bi,bj).eq.0.).and.
162			& (TE_STORE_3(J,K,bi,bj).eq.0.)) THEN
163			CL=0.
164			ELSE
165			CL=-(theta(I_obc-1,J,K,bi,bj)-TE_STORE_1(J,K,bi,bj))/
166			& (ab1TE_STORE_2(J,K,bi,bj) + ab2TE_STORE_3(J,K,bi,bj))
167	jmc	1.9	ENDIF
168	adcroft	1.2	IF (CL.lt.0.) THEN
169			CL=0.
170			ELSEIF (CL.gt.CMAX) THEN
171			CL=CMAX
172			ENDIF
173	adcroft	1.5	IF (useFixedCEast) THEN
174	jmc	1.10	C Fixed phase speed (ignoring all of that painstakingly
175			C saved data...)
176	adcroft	1.5	CVEL_TE(J,K,bi,bj) = CFIX
177			ELSE
178			CVEL_TE(J,K,bi,bj) = f1(CLdxC(I_obc-1,J,bi,bj)
179			$ /deltaT)+f2*CVEL_TE(J,K,bi,bj)
180			ENDIF
181	adcroft	1.2	C update OBC to next timestep
182			OBEt(J,K,bi,bj)=theta(I_obc,J,K,bi,bj)-
183	adcroft	1.7	& CVEL_TE(J,K,bi,bj)(deltaTrecip_dxC(I_obc,J,bi,bj))*
184			& (ab1*(theta(I_obc,J,K,bi,bj)-theta(I_obc-1,J,K,bi,bj))+
185	adcroft	1.2	& ab2*(TE_STORE_4(J,K,bi,bj)-TE_STORE_1(J,K,bi,bj)))
186			C Salinity
187			IF ((SE_STORE_2(J,K,bi,bj).eq.0.).and.
188			& (SE_STORE_3(J,K,bi,bj).eq.0.)) THEN
189			CL=0.
190			ELSE
191			CL=-(salt(I_obc-1,J,K,bi,bj)-SE_STORE_1(J,K,bi,bj))/
192			& (ab1SE_STORE_2(J,K,bi,bj) + ab2SE_STORE_3(J,K,bi,bj))
193	jmc	1.9	ENDIF
194	adcroft	1.2	IF (CL.lt.0.) THEN
195			CL=0.
196			ELSEIF (CL.gt.CMAX) THEN
197			CL=CMAX
198			ENDIF
199	adcroft	1.5	IF (useFixedCEast) THEN
200	jmc	1.10	C Fixed phase speed (ignoring all of that painstakingly
201			C saved data...)
202	adcroft	1.5	CVEL_SE(J,K,bi,bj) = CFIX
203			ELSE
204			CVEL_SE(J,K,bi,bj) = f1(CLdxC(I_obc-1,J,bi,bj)
205			$ /deltaT)+f2*CVEL_SE(J,K,bi,bj)
206			ENDIF
207	adcroft	1.2	C update OBC to next timestep
208			OBEs(J,K,bi,bj)=salt(I_obc,J,K,bi,bj)-
209	adcroft	1.7	& CVEL_SE(J,K,bi,bj)(deltaTrecip_dxC(I_obc,J,bi,bj))*
210	adcroft	1.2	& (ab1*(salt(I_obc,J,K,bi,bj)-salt(I_obc-1,J,K,bi,bj))+
211	jmc	1.9	& ab2*(SE_STORE_4(J,K,bi,bj)-SE_STORE_1(J,K,bi,bj)))
212	jmc	1.10	#ifdef ALLOW_NONHYDROSTATIC
213			IF ( nonHydrostatic ) THEN
214	adcroft	1.2	C wVel
215	jmc	1.10	IF ((WE_STORE_2(J,K,bi,bj).eq.0.).and.
216			& (WE_STORE_3(J,K,bi,bj).eq.0.)) THEN
217			CL=0.
218			ELSE
219			CL=-(wVel(I_obc-1,J,K,bi,bj)-WE_STORE_1(J,K,bi,bj))/
220			& (ab1WE_STORE_2(J,K,bi,bj)+ab2WE_STORE_3(J,K,bi,bj))
221			ENDIF
222			IF (CL.lt.0.) THEN
223			CL=0.
224			ELSEIF (CL.gt.CMAX) THEN
225			CL=CMAX
226			ENDIF
227	adcroft	1.5	IF (useFixedCEast) THEN
228	jmc	1.10	C Fixed phase speed (ignoring all of that painstakingly
229			C saved data...)
230	adcroft	1.5	CVEL_WE(J,K,bi,bj) = CFIX
231			ELSE
232			CVEL_WE(J,K,bi,bj)=f1(CLdxC(I_obc-1,J,bi,bj)/deltaT)
233	adcroft	1.2	& + f2*CVEL_WE(J,K,bi,bj)
234	adcroft	1.5	ENDIF
235	jmc	1.10	C update OBC to next timestep
236			OBEw(J,K,bi,bj)=wVel(I_obc,J,K,bi,bj)-
237			& CVEL_WE(J,K,bi,bj)(deltaTrecip_dxC(I_obc,J,bi,bj))*
238			& (ab1*(wVel(I_obc,J,K,bi,bj)-wVel(I_obc-1,J,K,bi,bj))+
239			& ab2*(WE_STORE_4(J,K,bi,bj)-WE_STORE_1(J,K,bi,bj)))
240			ENDIF
241			#endif /* ALLOW_NONHYDROSTATIC */
242	adcroft	1.2	C update/save storage arrays
243			C uVel
244			C copy t-1 to t-2 array
245			UE_STORE_3(J,K,bi,bj)=UE_STORE_2(J,K,bi,bj)
246			C copy (current time) t to t-1 arrays
247			UE_STORE_2(J,K,bi,bj)=uVel(I_obc-1,J,K,bi,bj) -
248			& uVel(I_obc-2,J,K,bi,bj)
249			UE_STORE_1(J,K,bi,bj)=uVel(I_obc-1,J,K,bi,bj)
250			UE_STORE_4(J,K,bi,bj)=uVel(I_obc,J,K,bi,bj)
251			C vVel
252			C copy t-1 to t-2 array
253			VE_STORE_3(J,K,bi,bj)=VE_STORE_2(J,K,bi,bj)
254			C copy (current time) t to t-1 arrays
255			VE_STORE_2(J,K,bi,bj)=vVel(I_obc-1,J,K,bi,bj) -
256			& vVel(I_obc-2,J,K,bi,bj)
257			VE_STORE_1(J,K,bi,bj)=vVel(I_obc-1,J,K,bi,bj)
258			VE_STORE_4(J,K,bi,bj)=vVel(I_obc,J,K,bi,bj)
259			C Temperature
260			C copy t-1 to t-2 array
261			TE_STORE_3(J,K,bi,bj)=TE_STORE_2(J,K,bi,bj)
262			C copy (current time) t to t-1 arrays
263			TE_STORE_2(J,K,bi,bj)=theta(I_obc-1,J,K,bi,bj) -
264			& theta(I_obc-2,J,K,bi,bj)
265			TE_STORE_1(J,K,bi,bj)=theta(I_obc-1,J,K,bi,bj)
266			TE_STORE_4(J,K,bi,bj)=theta(I_obc,J,K,bi,bj)
267			C Salinity
268			C copy t-1 to t-2 array
269			SE_STORE_3(J,K,bi,bj)=SE_STORE_2(J,K,bi,bj)
270			C copy (current time) t to t-1 arrays
271			SE_STORE_2(J,K,bi,bj)=salt(I_obc-1,J,K,bi,bj) -
272			& salt(I_obc-2,J,K,bi,bj)
273			SE_STORE_1(J,K,bi,bj)=salt(I_obc-1,J,K,bi,bj)
274			SE_STORE_4(J,K,bi,bj)=salt(I_obc,J,K,bi,bj)
275	jmc	1.10	#ifdef ALLOW_NONHYDROSTATIC
276			IF ( nonHydrostatic ) THEN
277	adcroft	1.2	C wVel
278			C copy t-1 to t-2 array
279			WE_STORE_3(J,K,bi,bj)=WE_STORE_2(J,K,bi,bj)
280			C copy (current time) t to t-1 arrays
281			WE_STORE_2(J,K,bi,bj)=wVel(I_obc-1,J,K,bi,bj) -
282			& wVel(I_obc-2,J,K,bi,bj)
283			WE_STORE_1(J,K,bi,bj)=wVel(I_obc-1,J,K,bi,bj)
284			WE_STORE_4(J,K,bi,bj)=wVel(I_obc,J,K,bi,bj)
285	jmc	1.10	ENDIF
286			#endif /* ALLOW_NONHYDROSTATIC */
287	adcroft	1.2	ENDIF
288			ENDDO
289			ENDDO
290
291	heimbach	1.8	#endif
292	adcroft	1.2	#endif /* ALLOW_ORLANSKI */
293			RETURN
294			END